Complex Langevin method: when can it be trusted?

We analyze to what extent the complex Langevin method, which is in principle capable of solving the so-called sign problems, can be considered as reliable. We give a formal derivation of the correctness and then point out various mathematical loopholes. The detailed study of some simple examples lea...

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Hauptverfasser: Aarts, Gert (VerfasserIn) , Seiler, Erhard (VerfasserIn) , Stamatescu, Ion-Olimpiu (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 22 March 2010
In: Physical review. D, Particles, fields, gravitation, and cosmology
Year: 2010, Jahrgang: 81, Heft: 5, Pages: 1-13
ISSN:1550-2368
DOI:10.1103/PhysRevD.81.054508
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevD.81.054508
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.81.054508
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Verfasserangaben:Gert Aarts, Erhard Seiler, Ion-Olimpiu Stamatescu
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Zusammenfassung:We analyze to what extent the complex Langevin method, which is in principle capable of solving the so-called sign problems, can be considered as reliable. We give a formal derivation of the correctness and then point out various mathematical loopholes. The detailed study of some simple examples leads to practical suggestions about the application of the method.
Beschreibung:Gesehen am 15.11.2022
Beschreibung:Online Resource
ISSN:1550-2368
DOI:10.1103/PhysRevD.81.054508